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Exotic Quantum Phases And Phase Transitions Of Strongly Interacting Electrons In Low Dimensional Systems
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Book Synopsis Exotic Quantum Phases and Phase Transitions of Strongly Interacting Electrons in Low-Dimensional Systems by : Ryan V. Mishmash
Download or read book Exotic Quantum Phases and Phase Transitions of Strongly Interacting Electrons in Low-Dimensional Systems written by Ryan V. Mishmash and published by . This book was released on 2014 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finally, working in two dimensions directly, we propose a new slave-particle theory which explains in a universal way many of the intriguing experimental results of the triangular lattice organic spin liquid candidates kappa-(BEDT-TTF) 2Cu2(CN)3 and EtMe3Sb[Pd(dmit) 2]2. With use of large-scale variational Monte Carlo calculations, we show that this new state has very competitive trial energy in an effective spin model thought to describe the essential features of the real materials.
Book Synopsis Exotic Phases and Quantum Criticality in Gapless Correlated Electron Systems by : David Fabian Mross
Download or read book Exotic Phases and Quantum Criticality in Gapless Correlated Electron Systems written by David Fabian Mross and published by . This book was released on 2013 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, I theoretically studied exotic phases of matter than arise due to strong interactions between electrons in three different scenarios. Firstly, at a stripe melting phase transition, which may be relevant for the high temperature superconductors, where we propose a specific type of transition which produces critical exponents agreeing with neutron scattering experiments on LSCO. Secondly, for a Pomeranchuk transition where an electronic nematic order parameter develops we present a controlled expansion within which the physics of such a transition, and of the related problem of fermions coupled to a gauge field, can be addressed. Thirdly, in a quantum spin liquid phase that is likely to be realized in certain organic Mott insulators. Here we show how such a phase can be accessed from a low energy description of a metal, without resorting to slave-particle constructions. Methodologically, the work in this thesis relies on field theoretical methods such as the renormalization group, the large-N and related expansions, dualities, bosonization and slave-particle constructions.
Book Synopsis Exploring Electron-electron and Electron-phonon Interactions in Strongly Interacting Quantum Systems by : Bo Xiao
Download or read book Exploring Electron-electron and Electron-phonon Interactions in Strongly Interacting Quantum Systems written by Bo Xiao and published by . This book was released on 2020 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Electron-electron and electron-phonon interactions play fundamental roles in condensed matter physics. Strong correlations among electrons and between electrons and phonons lead to beautiful emergent phenomena both in materials and in the models used to describe them. Unfortunately, the complexity induced from the combination of interactions and large numbers of degrees of freedom makes analytically solving these models very difficult, even when greatly simplified. As a consequence, many important questions in many-body physics remain open. For example, the discoveries of charge density wave (CDW) in the pseudogap phase of the unconventional high-temperature cuprate superconductors motivate on-going research on electron-phonon interactions and its effects on the off-diagonal long-range order (ODLRO). In conventional superconductors, the attractive interaction between electrons which is mediated by the electron-phonon interaction is essential for the formation of Cooper pairs. However, if the electron-phonon interaction is sufficiently strong, charge order emerges near commensurate filling to compete with superconductivity. In this thesis, we use a combination of numerical and analytical methods to understand this sort of interplay between different types of order in the microscopic and macroscopic behavior of many-body systems. In Chapter 1, we introduce the Hubbard and Holstein Hamiltonians and the some of the exotic phases and phase transitions which they describe. We also build up some of the connections between numerical solutions of these models and experimental results for superconducting, charge, and spin order. In Chapter 2 and 3, we set up the frameworks of quantum Monte Carlo (QMC) algorithms and machine learning (ML) methods. We show how to translate a quantum-mechanical problem into an algorithm with analytical analysis encoded in it, which can be widely applied to various models and physics. In Chapter 4 and 5, we quantitatively determine the phase diagrams of one dimensional electron-phonon models where electrons have a long-range coupling to phonons as well as repulsive electron-electron interactions. We analyze the resulting metallic, Mott insulator, Peierls insulator phases, as well as the phase separation which we show often arises from momentum-dependent electron-phonon coupling. Although much work has been done on the extended Hubbard model, our research on including electron-phonon interactions pushes the field in a new direction. In Chapter 6, we describe the first study of the interplay between electron-phonon interaction and the effects of randomness. Our central result is a somewhat unexpected one: the suppression of the charge density wave correlations in the half-filled Holstein model by disorder can stabilize a superconducting phase. In Chapter 7, we use QMC and cutting-edge ML methods to identify phase transitions involving 'off-diagonal' order parameters using 'diagonal' order parameter descriptors. Our study has implications for the exploration of strong correlations using quantum gas microscopy (QGM). Chapter 8 summarizes some of the key results of this thesis, and points areas of investigation which would be important to pursue further. The material presented in Chapters 3, 4 and 5 of this dissertation is based on two published articles in Physical Review B, references [1, 2], and one manuscript which has been submitted and is under review at Physical Review Letters, reference [3]. Chapter 7 is based on reference [4], which is in preparation.
Book Synopsis Quantum Phase Transitions by : Subir Sachdev
Download or read book Quantum Phase Transitions written by Subir Sachdev and published by Cambridge University Press. This book was released on 2001-04-23 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Phase Transitions is the first book to describe in detail the fundamental changes that can occur in the macroscopic nature of matter at zero temperature due to small variations in a given external parameter. The subject plays a central role in the study of the electrical and magnetic properties of numerous important solid state materials. The author begins by developing the theory of quantum phase transitions in the simplest possible class of non-disordered, interacting systems - the quantum Ising and rotor models. Particular attention is paid to their non-zero temperature dynamic and transport properties in the vicinity of the quantum critical point. Several other quantum phase transitions of increasing complexity are then discussed and clarified. Throughout, the author interweaves experimental results with presentation of theoretical models, and well over 500 references are included. The book will be of great interest to graduate students and researchers in condensed matter physics.
Book Synopsis Dynamic and Quantum Phase Transitions in Low-dimensional Highly Correlated Systems by : Alexander A. Zharov
Download or read book Dynamic and Quantum Phase Transitions in Low-dimensional Highly Correlated Systems written by Alexander A. Zharov and published by . This book was released on 2009 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Phases and Phase Transitions of Strongly Correlated Electron Systems by : Pouyan Ghaemi Mohammadi
Download or read book Phases and Phase Transitions of Strongly Correlated Electron Systems written by Pouyan Ghaemi Mohammadi and published by . This book was released on 2008 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Different experiments on strongly correlated materials have shown phenomena which are not consistent with our conventional understandings. We still do not have a general framework to explain these properties. Developing such a general framework is much beyond the scope of this thesis, but here we try to address some of challenges in simpler models that are more tractable. In correlated metals it appears as strong correlations have different effect on different parts of fermi surface. Perhaps most striking example of this is normal state of optimally doped cuprates; the quasiparticle peaks on the nominal fermi surface do not appear uniformly. We try to track such phenomena in heavy fermion systems, which are correlated fermi liquids. In these systems, a lattice of localized electrons in f or d orbitals is coupled to the conduction electrons through an antiferromagnetic coupling. Singlets are formed between localized and conduction electrons. This singlet naturally have non-zero internal angular momentum. This nontrivial structure leads to anisotropic effect of strong correlations. Internal structure of Kondo singlet can also lead to quantum Hall effect in Kondo insulator, and formation of isolated points on the fermi surface with fractionalized quasiparticles. In the second part we study a phase transition in Heisenberg model between two insulating phases, Neel ordered and certain spin liquid state, popular in theories of the cuprates. The existence of such a transition has a number of interesting implications for spin liquid based approaches to the underdoped cuprates and clarifies existing ideas for incorporating antiferromagnetic long range order into such a spin liquid based approach. This transition might also be enlightening, despite fundamental differences, for the heavy fermion critical points where a second order transition between the heavy fermion phase and a metallic phase with magnetic antiferromagnetic order is observed.
Book Synopsis Exotic, Topological, and Many Body Localized Quantum Phase Transitions by : Kevin Jacob Slagle
Download or read book Exotic, Topological, and Many Body Localized Quantum Phase Transitions written by Kevin Jacob Slagle and published by . This book was released on 2016 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis we will study recent examples of exotic, topological, and many body localized quantum phase transitions. In Chapter 2 we study the quantum phase transition between the Z2 spin liquid and valence bond solid (VBS) orders on a triangular lattice. We find a possible nematic Z2 spin liquid intermediate phase and predict a continuous 3d XY* transition to the neighboring columnar and resonating-plaquette VBS phases. In Chapter 3 we demonstrate that an extended Kane-Mele Hubbard model on a bilayer honeycomb lattice has two novel quantum phase transitions. The first is a quantum phase transition between the weakly interacting gapless Dirac fermion phase and a strongly interacting fully gapped and symmetric trivial phase, which cannot be described by the standard Gross-Neveu model. The second is a quantum critical point between a quantum spin Hall insulator with spin Sz conservation and the previously mentioned strongly interacting fully gapped phase. We argue that the first quantum phase transition is related to the Z16 classification of the topological superconductor 3He-B phase with interactions, while the second quantum phase transition is a topological phase transition described by a bosonic O(4) nonlinear sigma model field theory with a Theta-term. In Chapter 4 we propose that if the highest and lowest energy eigenstates of a Hamiltonian belong to different SPT phases, then this Hamiltonian can't be fully many body localized. In Chapter 5 we study the disordered XYZ spin chain and its marginally many body localized critical lines, which we find to be characterized by an effective central charge c'=ln2 and continuously varying critical exponents.
Book Synopsis Understanding Quantum Phase Transitions by : Lincoln Carr
Download or read book Understanding Quantum Phase Transitions written by Lincoln Carr and published by CRC Press. This book was released on 2010-11-02 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum phase transitions (QPTs) offer wonderful examples of the radical macroscopic effects inherent in quantum physics: phase changes between different forms of matter driven by quantum rather than thermal fluctuations, typically at very low temperatures. QPTs provide new insight into outstanding problems such as high-temperature superconductivit
Book Synopsis Lectures on Phase Transitions by : V. I. Yukalov
Download or read book Lectures on Phase Transitions written by V. I. Yukalov and published by World Scientific. This book was released on 1990 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book treats the problem of phase transitions, emphasizing the generality and universality of the methods and models used. The course is basically concentrated on the problems of vacuum degeneration in macroscopic systems and a fundamental concept of quasiaverages by Bogolubov playing a special role in the theory of phase transitions and critical phenomena. An analysis of the connection between phase transition and spontaneous symmetry breaking in a macroscopic system allows a unique description of both first- and second-order phase transitions.The unique features of this book are: (i) a unique approach of describing first ? as well as second-order phase transitions, based on the Bogolubov concept of quasi-averages.(ii) a detailed presentation of the material and at the same time a review of modern problems.(iii) a general character of developed ideas that could be applied to various particular systems of condensed matter physics, nuclear physics and high-energy physics.
Book Synopsis Slave Particle Study of the Strongly Correlated Electrons by : Seyyed Mir Abolhassan Vaezi
Download or read book Slave Particle Study of the Strongly Correlated Electrons written by Seyyed Mir Abolhassan Vaezi and published by . This book was released on 2011 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: Until three decades ago, our understanding of the condensed matter systems were based on two frameworks developed by Russian physicist Lev Landau: his theory of phase transition, and Fermi liquids. The Landau theory of phase transition and the Fermi liquid theory together, can successfully explain a wide range of phenomena from ferromagnetism and antiferromagnetism to the conventional superconductivity. However, in the last thirty years, many experiments including the fractional quantum Hall effect (QHE) have revolutionized our view of nature. For a system of electrons that is subject to a very strong interactions and/or strong correlations between electrons, these two frameworks may break down. There many phases of matter, e.g. spin liquids, that do not break any classical symmetry, but are separated by phase transition. These states has the so called topological order. Also, many of these states do not follow predictions of the Fermi liquid theory and have many exotic behaviors. A rather powerful technique to handle with these issues is the slave particle method. In the first part of this thesis, using a more general slave particle method we study the strongly correlated Hubbard model, whose ground state may represent a Fermi liquid state at two spatial dimensions. We study the phase diagram of this model and show that the gapped spin liquid can be realized on the both honeycomb and square lattices, within mean-field. We also investigate the effective low energy theory of these states. Some of them are subject to compact gauge fluctuations. We study instanton effect in them and show that instanton proliferation can destabilize some of them. Another interesting problem in which we are interested in is the copper based high temperature superconductors (HTSC). The parent state of cuprates materials (undoped case) is a Mott insulator whose ground state is proposed to be a spin liquid. Upon doping, many exotic phases appear, from high temperature superconductivity to the pseudogap phase with disjoint Fermi segments (Fermi arcs) instead of a closed Fermi surface, or the strange metal phase where the Fermi liquid theory breaks down and exhibits very unusual transport properties. The isotope effect in these materials is also very different from that of conventional superconductors. In the second part of this thesis we study the above mentioned problem in detail and explain them by appealing to the slave particle method.
Book Synopsis Electronic Phase Transitions by : Yu.V. Kopaev
Download or read book Electronic Phase Transitions written by Yu.V. Kopaev and published by Elsevier. This book was released on 2012-12-02 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Electronic Phase Transitions deals with topics, which are presently at the forefront of scientific research in modern solid-state theory. Anderson localization, which has fundamental implications in many areas of solid-state physics as well as spin glasses, with its influence on quite different research activities such as neural networks, are two examples that are reviewed in this book. The ab initio statistical mechanics of structural phase transitions is another prime example, where the interplay and connection of two unrelated disciplines of solid-state theory - first principle electronic structure calculations and critical phenomena - has given rise to impressive new insights. Clearly, there is more and more need for accurate, stable numerical simulations of models of interacting electrons, presently discussed with great vigor in connection with high-Tc superconductors where the superconducting transition is close to a magnetic transition, i.e. an antiferromagnetic spin structure. These topics and others are discussed and reviewed by leading experts in the field.
Author :Kaden Richard Alan Hazzard Publisher :Springer Science & Business Media ISBN 13 :1441981799 Total Pages :239 pages Book Rating :4.4/5 (419 download)
Book Synopsis Quantum Phase Transitions in Cold Atoms and Low Temperature Solids by : Kaden Richard Alan Hazzard
Download or read book Quantum Phase Transitions in Cold Atoms and Low Temperature Solids written by Kaden Richard Alan Hazzard and published by Springer Science & Business Media. This book was released on 2011-06-28 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary focus of this thesis is to theoretically describe nanokelvin experiments in cold atomic gases, which offer the potential to revolutionize our understanding of strongly correlated many-body systems. The thesis attacks major challenges of the field: it proposes and analyzes experimental protocols to create new and interesting states of matter and introduces theoretical techniques to describe probes of these states. The phenomena considered include the fractional quantum Hall effect, spectroscopy of strongly correlated states, and quantum criticality, among others. The thesis also clarifies experiments on disordered quantum solids, which display a variety of exotic phenomena and are candidates to exhibit so-called "supersolidity." It collects experimental results and constrains their interpretation through theoretical considerations. This Doctoral Thesis has been accepted by Cornell University, Ithaca, USA.
Book Synopsis Quantum Phase Transitions in Two Dimensional Electron Systems Under Strong Magnetic Field by : Dongzi Liu
Download or read book Quantum Phase Transitions in Two Dimensional Electron Systems Under Strong Magnetic Field written by Dongzi Liu and published by . This book was released on 1994 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Spin and Charge Ordering in the Quantum Hall Regime by : Benedikt Frieß
Download or read book Spin and Charge Ordering in the Quantum Hall Regime written by Benedikt Frieß and published by Springer. This book was released on 2016-06-24 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents a comprehensive yet concise introduction to the physics of two-dimensional electron systems in the quantum Hall regime, as well as an up-to-date overview of the current fields of research concerning the integer and fractional quantum Hall effect. The physics of two-dimensional electron systems at low temperatures and high magnetic fields are governed by the formation of discrete energy levels referred to as Landau levels. These narrow energy bands not only form the basis of the well-known quantum Hall effect but also promote strong interactions between the electrons, giving rise to some of the finest manifestations of many-body physics in solid state science. Examples include skyrmionic spin textures, ferromagnetic spin transitions, stripe and bubble phases, as well as fractional quantum Hall states with potential non-abelian exchange statistics. The thesis succeeds in profoundly deepening our understanding of these exotic states of matter, with a main focus on the density-modulated phases in the quantum Hall regime. These phases arise from the interplay of competing interactions and are characterized by a self-organized ordering of electrons in spatial patterns. Similar phases of matter are currently being studied in other material systems as well, most notably in high-temperature superconductors. The thesis stands out not only in terms of its contribution to improving readers’ grasp of physics, but also in the diversity and novelty of the measurement techniques employed, which take advantage of the interaction between the electrons and the surrounding crystal lattice.
Book Synopsis Many-body Problem, The: An Encyclopedia Of Exactly Solved Models In One Dimension (3rd Printing With Revisions And Corrections) by : Daniel C Mattis
Download or read book Many-body Problem, The: An Encyclopedia Of Exactly Solved Models In One Dimension (3rd Printing With Revisions And Corrections) written by Daniel C Mattis and published by World Scientific. This book was released on 1993-03-15 with total page 992 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book differs from its predecessor, Lieb & Mattis Mathematical Physics in One Dimension, in a number of important ways. Classic discoveries which once had to be omitted owing to lack of space — such as the seminal paper by Fermi, Pasta and Ulam on lack of ergodicity of the linear chain, or Bethe's original paper on the Bethe ansatz — can now be incorporated. Many applications which did not even exist in 1966 (some of which were originally spawned by the publication of Lieb & Mattis) are newly included. Among these, this new book contains critical surveys of a number of important developments: the exact solution of the Hubbard model, the concept of spinons, the Haldane gap in magnetic spin-one chains, bosonization and fermionization, solitions and the approach to thermodynamic equilibrium, quantum statistical mechanics, localization of normal modes and eigenstates in disordered chains, and a number of other contemporary concerns.
Book Synopsis Novel Quantum Phases in Correlated Electron Systems by : Kyusung Hwang
Download or read book Novel Quantum Phases in Correlated Electron Systems written by Kyusung Hwang and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The quantum nature of electrons emerges in various exotic ways when they are put together with quantum many-body interactions. In Mott insulating systems with strong electron correlation, frustration and strong quantum fluctuations promote localized electron spins to form nontrivial quantum paramagnetic phases such as quantum spin liquid and valence bond solid preventing the development of conventional magnetic orders. In this thesis, we study such exotic quantum phases in various different frustrated quantum magnets. First, encouraged by the spin liquid phenomenology observed in Ba3XSb2O9 (X=Cu, Ni), we investigate Z2 spin liquids on a three dimensional triangular lattice by employing the Schwinger boson mean-field theory with projective symmetry group analysis. It is found that a nematic spin liquid is energetically favorable on this lattice structure rather than symmetric spin liquids. Next, we study various valence bond solid phases that can appear in kagome lattice antiferromagnets by generalizing the recently proposed phenomenological Z2 gauge theory for the topological Z2 spin liquid state found in the nearest-neighbor kagome lattice Heisenberg model. This work provides a bridge between the topological spin liquid and valence bond solid phases previously proposed for kagome lattice antiferromagnets via vison condensation in the gauge theory. Then, we consider optical conductivity in Mott insulators as an experimental probe to detect quantum paramagnetic phases like valence bond solid. Applying this idea to deformed kagome lattice antiferromagnet Rb2Cu3SnF12 with a 12-site valence bond solid state, we estimate the size of optical conductivity in this quantum magnet. After this, another quantum paramagnet BiCu2PO6 is carefully investigated to clarify its puzzling ground state nature and quasiparticle excitations. Utilizing recent high resolution neutron scattering data, we construct a microscopic spin model and also an effective theory for the low energy spin excitations in the compound. We find significant influences of magnetic anisotropies on the ground state and quasiparticle dynamics. Lastly, we investigate emergent quantum phases in the thin film geometries of the pyrochlore iridates, where a number of exotic quantum ground states are proposed to occur in bulk materials as a result of the interplay between electron correlation and strong spin-orbit coupling. The fate of these bulk phases, as well as the novel quantum states that may arise only in a thin film setting, are studied via a theoretical model that allows layer-dependent magnetic structures.
Author :Michael I. Monastyrsky Publisher :Springer Science & Business Media ISBN 13 :3540312641 Total Pages :263 pages Book Rating :4.5/5 (43 download)
Book Synopsis Topology in Condensed Matter by : Michael I. Monastyrsky
Download or read book Topology in Condensed Matter written by Michael I. Monastyrsky and published by Springer Science & Business Media. This book was released on 2006-02-04 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reports new results in condensed matter physics for which topological methods and ideas are important. It considers, on the one hand, recently discovered systems such as carbon nanocrystals and, on the other hand, new topological methods used to describe more traditional systems such as the Fermi surfaces of normal metals, liquid crystals and quasicrystals. The authors of the book are renowned specialists in their fields and present the results of ongoing research, some of it obtained only very recently and not yet published in monograph form.
